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6692664 = 23311101251
BaseRepresentation
bin11001100001111100111000
3110121000121110
4121201330320
53203131124
6355240320
7110613066
oct31417470
913530543
106692664
113861330
1222a90a0
131504374
14c63036
158c3029
hex661f38

6692664 has 64 divisors (see below), whose sum is σ = 18506880. Its totient is φ = 2000000.

The previous prime is 6692663. The next prime is 6692669. The reversal of 6692664 is 4662966.

6692664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6692663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26539 + ... + 26789.

It is an arithmetic number, because the mean of its divisors is an integer number (289170).

Almost surely, 26692664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6692664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253440).

6692664 is an abundant number, since it is smaller than the sum of its proper divisors (11814216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6692664 is a wasteful number, since it uses less digits than its factorization.

6692664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 368 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 6692664 is about 2587.0183609708. The cubic root of 6692664 is about 188.4515327316.

It can be divided in two parts, 669 and 2664, that added together give a palindrome (3333).

The spelling of 6692664 in words is "six million, six hundred ninety-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 251 264 303 404 502 606 753 808 1004 1111 1212 1506 2008 2222 2424 2761 3012 3333 4444 5522 6024 6666 8283 8888 11044 13332 16566 22088 25351 26664 33132 50702 66264 76053 101404 152106 202808 278861 304212 557722 608424 836583 1115444 1673166 2230888 3346332 6692664